Curve Fitting With Clothoidal Splines
نویسنده
چکیده
Clothoids, i.e. curves Z(s) in RI whoem curvatures xes) are linear fitting functions of arclength ., have been nued for some time for curve fitting purposes in engineering applications. The first part of the paper deals with some basic interpolation problems for lothoids and studies the existence and uniqueness of their solutions. The second part discusses curve fitting problems for clothoidal spines, i.e. C2-carves, which are composed of finitely many clothoids. An iterative method is described for finding a clothoidal spline Z(aJ passing through given Points Z1 cR 2 . i = 0,1L.. n+ 1, which minimizes the integral frX(S) 2 ds.
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